Breaking classical convexity in Waring ' s problem : Sums of cubes and quasi-diagonal behaviour

@inproceedings{Wooley2005BreakingCC,
title={Breaking classical convexity in Waring ' s problem : Sums of cubes and quasi-diagonal behaviour},
author={Trevor D. Wooley},
year={2005}
}

The natural interpretation of even moments of exponential sums, in terms of the number of solutions of certain underlying diophantine equations, permits a rich interplay to be developed between simple analytic inequalities, and estimates for those even moments. This interplay is in large part responsible for the remarkable success enjoyed by the Hardy-Littlewood method in its application to numerous problems of additive type. In the absence of such an interpretation, the most effective methodâ€¦Â CONTINUE READING